The Difference Schemes for Solving Singularly Perturbed Three-Point Boundary Value Problem
dc.authorscopusid | 22133512500 | |
dc.authorscopusid | 35110362400 | |
dc.authorscopusid | 6506398616 | |
dc.authorwosid | Cimen, Erkan/J-2065-2017 | |
dc.contributor.author | Cakir, Musa | |
dc.contributor.author | Cimen, Erkan | |
dc.contributor.author | Amiraliyev, Gabil M. | |
dc.date.accessioned | 2025-05-10T17:04:14Z | |
dc.date.available | 2025-05-10T17:04:14Z | |
dc.date.issued | 2020 | |
dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
dc.department-temp | [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Amiraliyev, Gabil M.] Erzincan Univ, Fac Arts & Sci, Dept Math, TR-24000 Erzincan, Turkey | en_US |
dc.description.abstract | In this paper, we propose and analyze numerical treatment for a singularly perturbed convection-diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been estimated. Then we construct a finite difference scheme on a uniform mesh. We prove the uniform convergence of the proposed difference scheme and give an error estimate. We also present numerical examples, which demonstrate computational efficiency of the proposed method. | en_US |
dc.description.woscitationindex | Science Citation Index Expanded | |
dc.identifier.doi | 10.1007/s10986-020-09471-z | |
dc.identifier.endpage | 160 | en_US |
dc.identifier.issn | 0363-1672 | |
dc.identifier.issn | 1573-8825 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopus | 2-s2.0-85079437610 | |
dc.identifier.scopusquality | Q3 | |
dc.identifier.startpage | 147 | en_US |
dc.identifier.uri | https://doi.org/10.1007/s10986-020-09471-z | |
dc.identifier.uri | https://hdl.handle.net/20.500.14720/5953 | |
dc.identifier.volume | 60 | en_US |
dc.identifier.wos | WOS:000516035800002 | |
dc.identifier.wosquality | Q4 | |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Singular Perturbation | en_US |
dc.subject | Boundary Value Problem | en_US |
dc.subject | Exponentially Fitted Difference Scheme | en_US |
dc.subject | Uniformly Convergence | en_US |
dc.subject | Nonlocal Condition | en_US |
dc.title | The Difference Schemes for Solving Singularly Perturbed Three-Point Boundary Value Problem | en_US |
dc.type | Article | en_US |